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(Solved): Student ID: Problem 1: Given that A=[[-1,-1,2],[1,1,-3],[2,1,3]] and v=(v_(1),v_(2),v_(3))^(T). writ ...
Student ID: Problem 1: Given that
A=[[-1,-1,2],[1,1,-3],[2,1,3]]and
v=(v_(1),v_(2),v_(3))^(T). write the vector
u=Avas a linear combination of A columns. Problem 2: Let
Aand
Bbe two
n\times nmatrices. Which of the following is true:
(2AB)^(-1)=(1)/(2)A^(-1)B^(-1)
(2AB)^(-1)=2A^(-1)B^(-1)
(2AB)^(-1)=(1)/(2)B^(-1)A^(-1)
(2AB)^(-1)=2B^(-1)A^(-1)Problem 3: Given that
A=[[1,2],[2,1]], find
tr(A^(T)A). Problem 4: Let the matrix
C=AB, where A and B are given by:
A=[[-1,-1,\alpha ],[1,1,-3],[2,1,3]],B=[[1,1,-2],[3,1,-1],[-2,2,1]]If
c_(1,3)=2find the value of
\alpha .
